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212210110020 = 223531532152669
BaseRepresentation
bin1100010110100010110…
…1010100111001000100
3202021202021202112121110
43011220231110321010
511434101242010040
6241253223045020
721221523113256
oct3055055247104
9667667675543
10212210110020
1181aa8090617
12351648a0770
131701bb6a94c
14a3b1993cd6
1557c0399980
hex3168b54e44

212210110020 has 96 divisors (see below), whose sum is σ = 624928711680. Its totient is φ = 53730593280.

The previous prime is 212210109973. The next prime is 212210110061. The reversal of 212210110020 is 20011012212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212210109978 and 212210110005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 977755 + ... + 1174914.

It is an arithmetic number, because the mean of its divisors is an integer number (6509674080).

Almost surely, 2212210110020 is an apocalyptic number.

212210110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210110020 is an abundant number, since it is smaller than the sum of its proper divisors (412718601660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212210110020 is a wasteful number, since it uses less digits than its factorization.

212210110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152765 (or 2152763 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212210110020 its reverse (20011012212), we get a palindrome (232221122232).

The spelling of 212210110020 in words is "two hundred twelve billion, two hundred ten million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 53 60 62 93 106 124 155 159 186 212 265 310 318 372 465 530 620 636 795 930 1060 1590 1643 1860 3180 3286 4929 6572 8215 9858 16430 19716 24645 32860 49290 98580 2152669 4305338 6458007 8610676 10763345 12916014 21526690 25832028 32290035 43053380 64580070 66732739 114091457 129160140 133465478 200198217 228182914 266930956 333663695 342274371 400396434 456365828 570457285 667327390 684548742 800792868 1000991085 1140914570 1334654780 1369097484 1711371855 2001982170 2281829140 3422743710 3536835167 4003964340 6845487420 7073670334 10610505501 14147340668 17684175835 21221011002 35368351670 42442022004 53052527505 70736703340 106105055010 212210110020